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Finding the Third Proportional to 73,512 and 159,470

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Solution

The third proportional to 73,512 and 159,470 is: 345,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,512 : 159,470 = 159,470 : x
  2. Step 2: Convert to fraction form
    73,512/159,470 = 159,470/x
  3. Step 3: Cross multiply
    73,512x = 159,470 × 159,470
  4. Step 4: Simplify right side
    73,512x = 25,430,680,900
  5. Step 5: Solve for x
    x = 25,430,680,900/73,512
  6. Step 6: Final answer
    x = 345,939.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.